Given equation is

Integrate the sum terms by terms and factor out constants

Complete the square

For integrand u = -2+x and du = dx

Integrate the sum terms by terms and factor out constants

For integral of cos2s substitute p=2s and dp =2ds

The integral of cos(p) is sin(p)

The integral of 1 is s

Substitute back for p=2s

Substituite back u = -2+x

That equal to

Therefore the integration of the given equation is